A sign assignment in totally twisted Khovanov homology

Details A sign assignment in totally twisted Khovanov homology A sign assignment in totally twisted Khovanov homology

2011-09-23

arxiv.org/abs/1109.4982v1

Mathematics

Geometric Topology

12 pages; 5 figures

Scientific paper

We lift the characteristic-2 totally twisted Khovanov homology of Roberts and Jaeger to a theory with integer coefficients. The result is a complex computing reduced odd Khovanov homology for knots. This complex is equivalent to a spanning-tree complex whose differential is explicit modulo a sign ambiguity coming from the need to choose a sign assignment in the definition of odd Khovanov homology.

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